Nonlinear vibration of smart circular functionally graded plates coupled with piezoelectric layers |
| |
Authors: | F Ebrahimi A Rastgoo |
| |
Affiliation: | (1) Faculty of Mechanical Engineering, University of Tehran, North Karegar Avenue, P. O. Box 11365-4563, Tehran, Iran |
| |
Abstract: | Nonlinear vibration analysis of thin circular pre-stressed functionally graded (FG) plate integrated with two uniformly distributed
piezoelectric actuator layers with an initial nonlinear large deformation are presented in this paper. Nonlinear governing
equations of motion are derived based on classical plate theory (CPT) with von-Karman type geometrical large nonlinear deformations.
A nonlinear static problem is solved first to determine the initial stress state and pre-vibration deformations of the plate
that is subjected to in-plane forces and applied actuator voltage. By adding an incremental dynamic state to the pre-vibration
state, the differential equations that govern the nonlinear vibration behavior of pre-stressed piezoelectrically actuated
circular FG plate are derived. An exact series expansion method is used to model the nonlinear electro-mechanical vibration
behavior of the structure. Control of the FG plate’s nonlinear deflections and natural frequencies using high control voltages
are studied and their nonlinear effects are evaluated. In a parametric study the emphasis is placed on investigating the effect
of varying the applied actuator voltage as well as gradient index of FG plate on the dynamic characteristics of the structure. |
| |
Keywords: | FGM Piezoelectric Circular plate Control Nonlinear large deformation |
本文献已被 SpringerLink 等数据库收录! |